# Gautam Shenoy

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bio website location Bangalore, India age 28 member for 2 years, 5 months seen 2 days ago profile views 449

Work on Probability Theory, Stochastic Processes, Information Theory and Analysis. Analysis being Real Analysis and Measure theory. Currently a Ph.D student at Indian Institute of Science, Bangalore, India.

 26 Why is $i^3$ (the complex number “$i$”) equal to $-i$ instead of $i$? 16 Proving there are no integers $a, b, c$ satisfying $12a + 18b + 27c = 227$ 13 Prove that $\frac{mn}{1+m+n}\ge\frac{1}{3}$ for $m,n\in\mathbb{N}$ 10 $\lim_{R\rightarrow\infty} \int_0^R e^{x^2 - R^2}dx$ 9 Prove that if $x$ is odd then $x^2 -1$ is divisible by $8$.

# 4,189 Reputation

 +5 Doubt in Scheffe's Lemma +10 Is linear function convex or concave? +25 easy question about inequality +10 Why is $i^3$ (the complex number “$i$”) equal to $-i$ instead of $i$?

# 30 Questions

 10 cosh x inequality 7 To show that $P(|X-Y| \leq 2) \leq 3P(|X-Y| \leq 1)$ 6 Showing $2^{n_2} + 3^{n_3}+\cdots+9^{n_9}$ is dense in $\mathbb{R}^+$ 6 Application of Central Limit Theorem 5 Is $(A \times B)^\epsilon \subseteq A^\epsilon \times B^\epsilon$?

# 105 Tags

 66 real-analysis × 35 26 fake-proofs × 2 42 calculus × 16 23 algebra-precalculus × 8 34 probability × 27 21 probability-theory × 23 33 elementary-number-theory × 9 20 inequality × 11 27 complex-numbers × 4 20 limits × 7

# 4 Accounts

 Mathematics 4,189 rep 827 Arqade 101 rep 3 Role-playing Games 101 rep 1 MathOverflow 101 rep 1

 Caucus × 2 Yearling × 2 Explainer Curious Autobiographer Mortarboard Good Answer Nice Answer × 5 Notable Question Enlightened × 2

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